Merced Montesinos
Professor of Physics
Ph.D., Cinvestav, 1997
Research Specialty: Quantum Gravity. Gauge Theories. Constrained Systems. Canonical Quantization. Mathematical Physics.

 

I am currently interested in the foundations of classical and quantum dynamics of physical systems from the Lagrangian and Hamiltonian viewpoints, particularly with some issues involved in the classical and quantum dynamics of the degrees of freedom of gravity. These latter issues involve-but are not limited to-the study of topological field theories of the BF type in various spacetime dimensions, reformulations of general relativity as a constrained BF theory, the problem of time in general relativity, quantum gravity in the loop quantum gravity approach, etc.

Recent Publications:

  1. M. Montesinos and M. Velázquez, BF gravity with Immirzi parameter and matter fields, Phys. Rev. D 85, 064011 (2012) [8 pages] download
  2. M. Montesinos and M. Velázquez, Equivalent and alternative forms for BF gravity with Immirzi parameter, Symmetry, Integrability, and Geometry: Methods and Applications (SIGMA) 7, 103 (2011) [13 pages] download
  3. A. Gallardo and M. Montesinos, The boundary field theory induced by the Chern-Simons theory, J. Phys. A: Math. Theor. 44, 135402 (2011) download
  4. R. Capovilla, M. Montesinos, and M. Velázquez, Minimally modified self-dual 2-forms gravity, Class. Quantum Grav. 27, 145011 (2010) download
  5. L. Liu, M. Montesinos, and A. Perez, Topological limit of gravity admitting an SU(2) connection formulation, Phys. Rev. D 81, 064033 (2010) download
  6. M. Montesinos and M. Velázquez, BF gravity with Immirzi parameter and cosmological constant, Phys. Rev. D 81, 044033 (2010) download
  7. V. Cuesta, M. Montesinos, M. Velázquez, and J.D. Vergara, Topological field theories in n-dimensional spacetimes and Cartan's equations, Phys. Rev. D 78, 064046 (2008) download
  8. M. Montesinos and A. Perez, Two-dimensional topological field theories coupled to four-dimensional BF theory, Phys. Rev. D 77, 104020 (2008) download
  9. A. Pérez-Lorenzana, M. Montesinos, and T. Matos, Unification of cosmological scalar fields, Phys. Rev. D 77, 063507 (2008) download
  10. V. Cuesta and M. Montesinos, Cartan's equations define a topological field theory of the BF type, Phys. Rev. D 76, 104004 (2007) download
  11. V. Cuesta, M. Montesinos, and J.D. Vergara, Gauge invariance of the action principle for gauge systems with noncanonical symplectic structures, Phys. Rev. D 76, 025025 (2007) download
  12. M. Montesinos and G.F. Torres del Castillo, Reply to Comment on Symplectic quantization, inequivalent quantum theories, and Heisenberg's principle of uncertainty, Phys. Rev. A 75, 066102 (2007) download
  13. M. Montesinos, Alternative symplectic structures for SO(3,1) and SO(4) four-dimensional BF theories, Class. Quantum Grav. 23, 2267 (2006) download
  14. M. Mondragón and M. Montesinos, Covariant canonical formalism for four-dimensional BF theory, J. Math. Phys. 47, 022301 (2006) download

Supervised Ph.D. Theses:

  1. Mariano Alexander Celada Martínez, Ph.D., Cinvestav, in progress
  2. Diego Giovanni González Vallejo, Ph.D., Cinvestav, in progress
  3. Mercedes Paulina Velázquez Quesada, BF gravity, matter couplings, and related theories, Ph.D., Cinvestav, 2011
  4. Arturo Alejandro Gallardo Lozada, Dinámicas de bulto y de frontera, Ph.D., Cinvestav, 2011
  5. Vladimir Cuesta Sánchez, Algunas aplicaciones de la geometría simpléctica en la física matemática, Ph.D., Cinvestav, 2007

Supervised M.Sc. Theses:

  1. Daniel Fernando Higuita Borja, M.Sc., Cinvestav, in progress
  2. Diego Giovanni González Vallejo, Gravedad de 2-formas, M.Sc., Cinvestav, 2011
  3. Mariano Alexander Celada Martínez, Análisis hamiltoniano de gravedad a la BF, M.Sc., Cinvestav, 2011
  4. Ricardo Magaña Villalba, Análisis hamiltoniano del término agregado por Holst a la lagrangiana de Palatini, M.Sc., Cinvestav, 2007
  5. Arturo Alejandro Gallardo Lozada, Condiciones de frontera en el formalismo hamiltoniano à la Dirac, M.Sc., Cinvestav, 2006
  6. Aldo Aparicio Martínez Merino, Teoría de Hamilton-Jacobi para sistemas hamiltonianos genuinamente covariantes, M.Sc., Cinvestav, 2005
  7. Vladimir Cuesta Sánchez, Conexiones planas en relatividad general, M.Sc., Cinvestav, 2004
  8. Mauricio Javier Mondragón López, Formalismo canónico covariante de teorías BF en cuatro dimensiones y sistemas parametrizados con un número finito de grados de libertad, M.Sc., Cinvestav, 2003

Supervised B.Sc. Theses:

  1. Benito Alberto Juárez Aubry, Scalar field coupling to BF gravity, B.Sc., Universidad de las Américas Puebla, 2011
  2. Ernesto Flores González, Tensor de energía-momentum simétrico sin usar el método de simetrización de Belinfante, B.Sc., Universidad Veracruzana, 2006